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Finding the Third Proportional to 278,786.81 and 443,100.38

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Solution

The third proportional to 278,786.81 and 443,100.38 is: 704,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,786.81 : 443,100.38 = 443,100.38 : x
  2. Step 2: Convert to fraction form
    278,786.81/443,100.38 = 443,100.38/x
  3. Step 3: Cross multiply
    278,786.81x = 443,100.38 × 443,100.38
  4. Step 4: Simplify right side
    278,786.81x = 196,337,942,325.14
  5. Step 5: Solve for x
    x = 196,337,942,325.14/278,786.81
  6. Step 6: Final answer
    x = 704,258.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.